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Related Experiment Video

Updated: Jul 16, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Resilient quantum computation in correlated environments: a quantum phase transition perspective.

E Novais¹, Eduardo R Mucciolo, Harold U Baranger

¹Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA.

Physical Review Letters

|March 16, 2007

Summary

Quantum error correction protects quantum computers from environmental noise. A new dimensional criterion rephrases the quantum computing threshold theorem, showing error probability decreases with system size.

Related Experiment Videos

Last Updated: Jul 16, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Area of Science:

Quantum Information Science
Condensed Matter Physics
Computational Science

Background:

Quantum computers are susceptible to environmental noise, leading to decoherence.
Quantum error correction (QEC) is crucial for building fault-tolerant quantum computers.
Understanding the interplay between QEC and environmental correlations is vital.

Purpose of the Study:

To analyze quantum error correction in a correlated environment.
To investigate the conditions under which the quantum computing threshold theorem holds.
To reframe the threshold theorem using a dimensional criterion.

Main Methods:

Employed a perturbative renormalization group approach.
Derived a scaling equation analyzing the competition between computer dimension and correlation scaling dimension.
Investigated error probability under different flow regimes (relevant and irrelevant).

Main Results:

The scaling equation reveals a competition between system size and environmental correlations.
For irrelevant flow, error probability reduces to a stochastic form over long times or large qubit numbers.
The traditional derivation of the threshold theorem is validated for these specific error models.

Conclusions:

The quantum computing threshold theorem can be understood as a dimensional criterion.
This work provides new insights into the robustness of quantum error correction against correlated noise.
The findings have implications for designing and implementing fault-tolerant quantum computers.